Sentence examples for equilibrium definition from inspiring English sources
In this paper, we introduce the equilibrium definition about this problem based on Wardrop's principles and propose a mathematical model about this traffic equilibrium problem in dynamic networks.
We introduce the equilibrium definition based on Wardrop's principles when there are some internal relationships between different kinds of goods which transported through the same traffic network.
As in [8], the inequality in correlated equilibrium definition means that when the recommendation to user is to choose action, then choosing any other action instead of cannot result in higher expected payoff for this user.
Combining with the Nash equilibrium definition, the following equation can be obtained: psi (varvec{x}^{varvec,varvec{y}) = sumlimits_{l = 1}^{L} {left( {phi_{l} (varvec{y}_{l} |varvec{x}^{varvec ) - phi_{l} (varvec{x}^{varvec right)} le 0 (26).
The first condition means that any unilateral deviation by the pursuer leads to a smaller Hamiltonian value (and any unilateral deviation by the evader leads to a larger Hamiltonian value), which is the Nash equilibrium definition.
In this case, the algorithm terminates and due to the fixed-point construction, (p (k),q (k)) is a price-payment equilibrium as in Definition 3.1.
According to Blaser et al, "persistence represents the evolved selection for balancing host and microbial interests, resulting in an equilibrium that, by definition, is long-term but not necessarily forever stable" [1].
Then we examine that the generalized Nash equilibriums of nonmonetized noncooperative games defined in [10, 11] are the special cases of the extended Nash equilibriums defined in Definition 3.2.
The definition of equilibrium is slightly different than the Wardrop equilibrium, but has the same level of optimality of the travel time, so it's applicable.
Glass transitions are by definition non-equilibrium phenomena that arise when the kinetics of relaxation toward equilibrium slow so dramatically that equilibrium cannot be reached on experimental timescales.
Definition 1 (Equilibrium point).
